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- W4300180710 abstract "We prove two related concentration inequalities concerning the number of rational points of hyperelliptic curves over subsets of a finite field. In particular, we investigate the probability of a large discrepancy between the numbers of quadratic residues and non-residues in the image of such subsets over uniformly random hyperelliptic curves of given degrees. We find a constant probability of such a high difference and show the existence of sets with an exceptionally large discrepancy." @default.
- W4300180710 created "2022-10-03" @default.
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- W4300180710 date "2017-10-08" @default.
- W4300180710 modified "2023-09-23" @default.
- W4300180710 title "The number of rational points of hyperelliptic curves over subsets of finite fields" @default.
- W4300180710 doi "https://doi.org/10.48550/arxiv.1710.02781" @default.
- W4300180710 hasPublicationYear "2017" @default.
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